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Finding the Fourth Proportional to 264,884.32, 397,323.12 and 65,207.20

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Solution

The fourth proportional to 264,884.32, 397,323.12 and 65,207.20 is: 97,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,884.32 : 397,323.12 = 65,207.20 : x
  2. Step 2: Convert to fraction form
    264,884.32/397,323.12 = 65,207.20/x
  3. Step 3: Cross multiply
    264,884.32x = 397,323.12 × 65,207.20
  4. Step 4: Simplify right side
    264,884.32x = 25,908,328,150.46
  5. Step 5: Solve for x
    x = 25,908,328,150.46/264,884.32
  6. Step 6: Final answer
    x = 97,809.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.